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Sum of Squares and SemiDefinite Programmming Relaxations of Polynomial Optimization Problems The 2006 IEICE Society Conference Kanazawa, September 21, 2006 Masakazu Kojima Tokyo Institute of Technology An introduction to the recent development of SOS and SDP relaxations for computing global optimal solutions of POPs Exploiting sparsity in SOS and SDP relaxations to solve large scale POPs This presentation PowerPoint file is available at http://www.is.titech.ac.jp/~kojima/talk.html